Solving LPs with mixed type of constraints

Module 5 : Primal-Dual Relationships
Lec 24 : Solving LPs with mixed type of constraints
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[@ShibaShankar]

Can anyone clarify what method is to be used in general for a problem with mix type of constraints? Suppose a minimization problem is given with mix constraints, then which method shall we use? Can the Big M method be used or is it to be solved by Dual simplex / primal simplex?

[@jeffersonluke4774]

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[@torincody8378]

@Jefferson Luke flixportal

[@jeffersonluke4774]

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[@torincody8378]

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[@vandanags8449]

what I understood is that every minimisation problem is converted to a maximisation problem by multiplying with -1, then for regular simplex to apply we can use the big m method (big m is always used for a greater than or equal to constraint and so we have to introduce an artificial variable or if I multiplying with -1 to change the constraint to less than or equal to resulting in a negative rhs) now if you have a negative rhs you can proceed by the dual simplex method. So basically, if you have mixed constraints, you can use any method based on what you do to the constraint and the sign of rhs.